Pith Number

pith:LTSCFL4E

pith:2007:LTSCFL4ENIMMK7KLJSY4BG2GMC

not attested not anchored not stored refs pending

Multiplicity one Theorems

Avraham Aizenbud, Dmitry Gourevitch, G\'erard Schiffmann, Steve Rallis

arxiv:0709.4215 v1 · 2007-09-26 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTSCFL4ENIMMK7KLJSY4BG2GMC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:34:37.604128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ce422af846a18c57d4b4cb1c09b46608beaafcf06c78c2c40f48752a27c32a0

Aliases

arxiv: 0709.4215 · arxiv_version: 0709.4215v1 · doi: 10.48550/arxiv.0709.4215 · pith_short_12: LTSCFL4ENIMM · pith_short_16: LTSCFL4ENIMMK7KL · pith_short_8: LTSCFL4E

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LTSCFL4ENIMMK7KLJSY4BG2GMC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5ce422af846a18c57d4b4cb1c09b46608beaafcf06c78c2c40f48752a27c32a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfd0f09014983c467bea3e9485c419461ed760e4d3c389939d7ed5ae5621bbc7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-09-26T17:15:46Z",
    "title_canon_sha256": "ca0be69c8d3acfb575c5c48a0edc6b1c1f0466e63b8779ec5d9d2d2f74992ae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4215",
    "kind": "arxiv",
    "version": 1
  }
}